What is ((y-1)^2)/(49)-((x-2)^2)/(32)=1 ?

The solution to ((y-1)^2)/(49)-((x-2)^2)/(32)=1 is Hyperbola with (h,k)=(2,1),a=7,b=4sqrt(2)

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((y-1)^2)/(49)-((x-2)^2)/(32)=1

\frac{( y - 1 ) ^{2}}{49} - \frac{( x - 2 ) ^{2}}{32} = 1

(h, k) = (2, 1), a = 7, b = 42

Solution steps

\frac{( y - 1 ) ^{2}}{49} - \frac{( x - 2 ) ^{2}}{32} = 1

Rewrite

\frac{( y - 1 ) ^{2}}{49} - \frac{( x - 2 ) ^{2}}{32} = 1

in the form of a standard hyperbola equation

\frac{( y - 1 ) ^{2}}{7 ^{2}} - \frac{( x - 2 ) ^{2}}{( 4 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 1), a = 7, b = 42

4 x^{2} + 8 x - 3 y^{2} + 16 = 0

f (x) (f (x)) = x^{2} + 1

y^{2} - 2 y - (x^{2} - x - 1) = 0

4 x^{2} + 4 y^{2} - 9 + 18 y - 9 x^{2} = 0

4 x^{2} + 16 x - 9 y^{2} + 18 y = 29

What is ((y-1)^2)/(49)-((x-2)^2)/(32)=1 ?
The solution to ((y-1)^2)/(49)-((x-2)^2)/(32)=1 is Hyperbola with (h,k)=(2,1),a=7,b=4sqrt(2)